Transitive Property with the Less-Than Operator

if the following are true:

  • a < b
  • b < c

then a < c

Here are some examples:

  1. if the following are true:

    • 3 < 5
    • 5 < 7

    then 3 < 7

  2. if the following are true:

    • x < 10
    • 10 < y

    then x < y

  3. if the following are true:

    • 3 ⋅ m < 15 + n
    • 15 + n < p + 3

    then 3 ⋅ m < p + 3

Quiz (1 point)

Suppose that x < 3 + z and 3 + z < y

What does the Transitive Property allow us to conclude?

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